The length of a rectangle is 3 ft longer than its width.
If the perimeter of the rectangle is 42 ft, find its area.

Answers

Answer 1

Answer:

A = 108 feet²

Step-by-step explanation:

Let the width is b.

Length = 3+b

Perimeter of the rectangle, P = 42 ft

Perimeter = 2(l+b)

42 = 2 (3+b+b)

21 = (3+2b)

21-3 = 2b

18 = 2b

b = 9 feet

Length, l = 3+9 = 12 feet

Area of the rectangle,

A = lb

So,

A = 12 × 9

A = 108 feet²

So, the area of the rectangle is 108 feet².


Related Questions

A game is played using one die. If the dio is rolled and shows 5, the player wins $35. If the die shows any number other than 5, the player wins nothing
a. If there is a charge of $7 to play the game, what is the game's expected value

Answers

Answer:

Let random variable "x" be a count of player gain.

X-values are: 4, -1

P(x=4) = 1/6; P(x= -1) = 5/6

---------------------------------

E(x) = (1/6)(4) + (5/6)(-1)

E(x) = [4-5]/6

E(x) = -1/6 = -17 cents

=============================

Cheers,

Stan H.

Which of the following is another way of expressing 2 out of 8.
2.5%
25%
25
2.5

Pls help me

Answers

Answer:

it will be 25 percent

Step-by-step explanation:

divide 2 by 8

Answer: 25 %

Step-by-step explanation:

2/8

on simplifing  we got 1/4 in fraction  that is equal to  0.25  that is equal tp 25 % in percentage form.

Hope this will help you

Can someone be my math teacher ? pls message ​

Answers

Answer:

which grade do you want to get helped by ?

the figure below to answer the questions that follow 6cm LO 3.3.1 Calculate the angle, 60, in radians. (2) 3.3.2 Calculate the area of the minor sector (the "slice that has been cut out). (3) 3.3.3 Calculate the area of the major sector (4) 3.3.4 Calculate the arc length of the minor sector (3) 3.3.5 Calculate the arc length of the major sector. (3) [30]​

Answers

Answer:

it's very hard

im sorry dunno

Determine the big-O of the function: 1^k + 2^k +⋯+ n^k

Answers

Show that 1k+2k+...+nk is O(nk+1). So according to the definition of big-O notation we have: 1k+2k.

PLEASE HEP ME
PLEASE HELP AND BE CORRECT BEFORE ANSWERING

Answers

9514 1404 393

Answer:

TrueTrue

Step-by-step explanation:

The center of dilation (point D) is a point that doesn't move. Any line not through that point will be moved to a parallel location when a dilation factor is applied.

Any line through the center of dilation will still go through the center of dilation. Its slope does not change, so the line will appear to be the same.

  AB ║ A'B' — True

  AD ≅ A'D' — True

_____

You can see these relationships in the attached figure.

Which equation is represented by the graph below? choices in picture ​

Answers

Answer:

y=2x+4

this the right answer

Answer:

[tex]y = -\frac{1}{2}x + 2[/tex]

Determine the x- and y- intercepts for the graph defined by the given equation. y = 7x + 3 a. x-intercept is ( 3, 0) y-intercept is (0, negative StartFraction 3 Over 7 EndFraction) c. x-intercept is (0, negative StartFraction 3 Over 7 EndFraction) y-intercept is ( 3, 0) b. x-intercept is (negative StartFraction 3 Over 7 EndFraction, 0) y-intercept is (0, 3) d. x-intercept is (3, 0) y-intercept is (negative StartFraction 3 Over 7 EndFraction, 0)

Answers

Answer:

x-intercept is (-3/7, 0) and the y-intercept is at (0, 3)

Step-by-step explanation:

Given the function y = 7x + 3

The x-intercept occurs at y = 0. Substituting y = 0 into the expression, we will have:

0 = 7x + 3

7x + 3 = 0

7x = -3

x = -3/7

Similarly, the y-intercept occurs at x = 0. Substituting x = 0 into the expression, we will have:

y = 7(0) + 3

y = 0 + 3

y = 3

Hence the x-intercept is (-3/7, 0) and the y-intercept is at (0, 3)

Which function is represented by the table of values below?

Answers

Answer:

A. y = -x + 1

Step-by-step explanation:

The function can be represented in the slope-intercept form such as y = mx + b

m = slope = change in y/change in x

b = y-intercept = the starting value or the value of y when x is 0.

✔️Find slope (m) using two pair of values from the table, say (0, 1) and (1, 0):

Slope (m) = (0 - 1)/(1 - 0) = -1/1

Slope (m) = -1

✔️ y-intercept (b) = 1 (y = 1 when x is 0)

✔️Write the equation by substituting m = -1 and b = 1 into y = mx + b:

y = -1(x) + (1)

y = -x + 1

Complete the sentence below.

The expression 52x – 169 is equivalent to 13(
)

Answers

Answer:

13(4x-13)

if you distribute it then you come back with 52x-169.

Answer:

its D 4x- 13

Step-by-step explanation:

i just did the question

s% of 1/r

PLEASE HELP!

Answers

Answer:

  s/(100r)

Step-by-step explanation:

The % symbol is a shorthand way of writing /100, so ...

  s% of 1/r = (s/100) × (1/r) = s/(100r)

Answer:

Solution given:

S% of 1/r=S/100*1/r=S/(100r) is a required answer.

Step-by-step explanation:

% means divide by 100.

Each day a cashier counts the number of pennies left in the "take a penny, leave a penny" dish. Estimate the probability that there are fewer than 4 pennies on any given day
1 3 5 17 4 9 1 9 2 8 20
A.11/7 B.4/11 C.7/11 D.3/11

Answers

Answer:

B.4/11

Step-by-step explanation:

hope it helps

consider making my answer as BRAINLIST

Bài 2: Một công ty XNK Việt Nam nhận được tiền bán hàng từ hơp đồng XK là 35.000.000 JPY, đồng thời phải thanh toán tiền mua nguyên vật liệu NK là 3.500.000 CNY. Tại thời điểm thực hiện hợp đồng, NH niêm yết các tỷ giá giao ngay như sau: USD/JPY = 128,15/27 USD/CNY = 9,5575/91 USD/VND = 19.125/38 Hỏi tài khoản VND của công ty còn bao nhiêu tiền sau khi đã thực hiện các hơp đồng trên? Nêu ra phương án thanh toán có lợi nhất cho công ty? %3D

Answers

Answer:

Ask in English then I can help

Once again another one

Answers

Answer:

S = 23.6

Step-by-step explanation:

Since this is a right triangle, we can use  trig functions

sin S = opp / hyp

sin S = 4/10

sin S = 2/5

Taking the inverse sin of each side

sin^-1 ( sin S) = sin ^-1 (2/5)

S=23.57817

Rounding to the nearest tenth

S = 23.6

A cube has an edge of 8cm. Calculate its Volume.​

Answers

Answer:

512cm³

Step-by-step explanation:

to get the volume the formula is Base area x height

BA X H

=8x8x8 because all sides of a cube are equal

=512cm³

The two cones below are similar. What is the value of x?
A. 0.16
B. 0.32
C. 0.4
D. 0.8

Answers

Answer:

.8

Step-by-step explanation:

The ratios have to be the same for the cones to be similar

10       4

----- = ------

2         x

Using cross products

10x = 4*2

10x = 8

Divide by 10

x = 8/10

x = .8

Answer:

Step-by-step explanation:

A man whose salary is Ghs1624.5 per month received a Christmas bonus of 4/5 of his monthly salary in the month of December. Find his pay for that month.

Answers

3914 1404 393

Answer:

  Ghs 2924.1

Step-by-step explanation:

The man's pay including his bonus was ...

  (1 +4/5)(Ghs 1624.5) = Ghs 2924.1

The composition of a US dollar bill is 3/4 cotton and 1/4 linen. What percent of a dollar bill is cotton?

Answers

Answer:

75% cotton

Step-by-step explanation:

3/4=75%

1/4=25%

total 100%

Any help here please

Answers

Answer:

A

Step-by-step explanation:

JUst answered same question

determine a simplified expression

Answers

Answer:

For Task B: [tex]3x^4 - 2x^3[/tex]

Step-by-step explanation:

Given that Volume = l*w*h, we can plug in the values on the diagram, so we get the equation (3x-2)([tex]\frac{1}{2}x[/tex])([tex]2x^2[/tex]) = [tex](\frac{3}{2} x^2 - x)(2x^2) = 3x^4-2x^3[/tex]. Hope this helps!!!

The slope of the line below is 2. Which of the following is the point-slope form
of the line?

Answers

Answer:

y+1 = 2(x-1)

Step-by-step explanation:

Point slope form for a line is

y-y1 = m(x-x1)  where m is the slope and (x1,y1) is a point on the line

We are given the point(1,-1)

y --1 = 2(x-1)

y+1 = 2(x-1)

The probability of someone ordering the daily special is 52%. If the restaurant expected 65 people for lunch, how many would you expect to order the daily special? Group of answer choices

Answers

Answer:32.5% fo people will buy

Step-by-step explanation:

mostly half of the people with order

Identify the first 4 terms in the arithmetic sequence given by the explicit formula ƒ(n) = 8 + 3(n – 1).
A) 8, 11, 14, 17
B) 3, 11, 19, 27
C) 8, 5, 2, –1
D) 3, –5, –13, –21

Answers

Answer:

A

Step-by-step explanation:

an arithmetic sequence adds a constant from every previous term to create the next term.

it starts with a first term, a1, meaning that n >=1

a1 = 8 + 3×(1-1) = 8 + 3×0 = 8

so, B and D are out.

the next term is a2.

a2 = 8 + 3×(2-1) = 8 + 3×1 = 11

and so, only A can be correct.

just to verify

a3 = 8 + 3×(3-1) = 14

a4 = 8 + 3×(4-1) = 17

and it also fits overall,

starting with 8, every new term is the previous term + 3.

Question 1 of 28
What is the length of the short leg in the 30-60-90 triangle shown below?
30
513
60
A. 525
B. 10
O c. 5
D. 515

Answers

Answer: 5

Step-by-step explanation:

Remember the relationships of the sides of a 30-60-90 triangle. The longer leg is sqrt(3) times the value of the shorter leg. By dividing 5[tex]\sqrt{3\\}[/tex] with [tex]\sqrt{3}[/tex] you get 5 as the length of the shorter leg.

What is a40
a
40
of the arithmetic sequence for which a8=60
a
8
=
60
and a12=48
a
12
=
48
?

Answers

9514 1404 393

Answer:

  -36

Step-by-step explanation:

Using the expression for the general term, you can fill in the known values and solve for the parameters of the sequence.

  an = a1 +d(n -1)

  a8 = a1 + d(8 -1) = 60

  a12 = a1 + d(12 -1) = 48

The difference of these equations is ...

  (a1 +7d) -(a1 +11d) = (60) -(48)

  -4d = 12

  d = -3

Substituting into the first equation, we have ...

  a1 +7(-3) = 60

  a1 = 81 . . . . . . . . . add 21

Then the 40th term is ...

  a40 = 81 -3(40 -1) = 81 -117

  a40 = -36

We know that a class interval must be greater than what the I formula solution is; however... What is the solution for class interval (for the formula) for a frequency distribution if the data ranges from 100 to 220 with 50 observations?

Answers

Answer:

Therefore the answer is 20.

Step-by-step explanation:

We know that

class interval = range / number of classes

But here number of classes is not given , so we use the formula

class interval = range / ( 1+ 3.322 log N)

where , range =maximum - minimum = 220-100 = 120

N= number of observations = 50

class interval = 120 / ( 1+ 3.322 * log 50) = 18.06

Rounding up to a convinient number

Thus , class intervai = 20

Therefore the answer is 20.

Question 4 4 pts Lori buys a $1500 certificate of deposit (CD) that earns 6% interest that compounds monthly. How much will the CD be worth in: 5 years? 10 years? 486 months?

Answers

Answer:

Step-by-step explanation:

5 years

[tex]1500(1+\frac{.06}{12})^{12*5}=2023.275229[/tex]

10 years

[tex]1500(1+\frac{.06}{12})^{10*12}=2729.095101[/tex]

486 months:

[tex]1500(1+\frac{.06}{12})^{486}=16935.47074[/tex]

round those as you please

Find: |-8|
о 0
О -1
0 8
О - 8

Answers

Answer:

|-8|

= |-8| = 8

|-8|. |-a = a , a> o

= 8

f(x) = V2x
g(x) = V18x
Find (f .g)(x). Assume x2 0.

Answers

Answer:

fog(x) is D = 6[tex]\sqrt{x}[/tex]

Step-by-step explanation:

I. square all value, so f(x) is 2x then g(x) is 18x

II. Replace x.value in f(x) with g(x).value = 2(18x)

III. If x is 1, 2(18*1) will be 36; find root, so answer is 6

If x is 2, 2(18*2) will be 72; find root, so answer is 6[tex]\sqrt{2}[/tex]

Hope it help, sorry if I'm done it wrong, but I think it's gonna be the right answer. :)

expand and simplify √3(√3-1)

Answers

Answer:

[tex]3 - \sqrt{3} [/tex]

Step-by-step explanation:

[tex] \sqrt{3} ( \sqrt{3} - 1)[/tex]

[tex] = \sqrt{3} \times \sqrt{3} - \sqrt{3} \times 1[/tex]

[tex] = 3 - \sqrt{3} (ans)[/tex]

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